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Finding the Fourth Proportional to 193,648.92, 290,349.06 and 75,194.04

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Solution

The fourth proportional to 193,648.92, 290,349.06 and 75,194.04 is: 112,742.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,648.92 : 290,349.06 = 75,194.04 : x
  2. Step 2: Convert to fraction form
    193,648.92/290,349.06 = 75,194.04/x
  3. Step 3: Cross multiply
    193,648.92x = 290,349.06 × 75,194.04
  4. Step 4: Simplify right side
    193,648.92x = 21,832,518,831.60
  5. Step 5: Solve for x
    x = 21,832,518,831.60/193,648.92
  6. Step 6: Final answer
    x = 112,742.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.